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jenyasd209 [6]
4 years ago
6

Find the number of sides of the regular polygon when the measure of an exterior angle is given.

Mathematics
1 answer:
mario62 [17]4 years ago
8 0
1.\\exterior\angle=30^\circ\\ exterior\angle=180^\circ-interior\ angle\\ interior\angle=180^\circ-exterior\ angle=180^\circ -30^\circ=150^\circ\\ \\Formula\ for\ number\ of\ sides\ of\ regular\ polygon:\\\\ interior\angle= 180^\circ-\frac{360^\circ}{n}\\ 150^\circ=180^\circ-\frac{360^\circ}{n}\\ -30^\circ=-\frac{360^\circ}{n}\ |*n\\ -30^\circ\ *n=-360^\circ \ |:-30^\circ\\ n=12\\\\ Number\ of\ sides\ is\ 12.2.\\exterior\angle=10^\circ\\ exterior\angle=180^\circ-interior\ angle\\ interior\angle=180^\circ-exterior\ angle=180^\circ -10^\circ=170^\circ\\ \\Formula\ for\ number\ of\ sides\ of\ regular\ polygon:\\\\ interior\angle= 180^\circ-\frac{360^\circ}{n}\\ 170^\circ=180^\circ-\frac{360^\circ}{n}\\ -10^\circ=-\frac{360^\circ}{n}\ |*n\\ -10^\circ\ *n=-360^\circ \ |:-10^\circ\\ n=36\\\\ Number\ of\ sides\ is\ 36.
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3 years ago
Please help me answer this?
ANTONII [103]

Answer:

  $102

Step-by-step explanation:

The pay for the day of work is the total of morning hours worked and afternoon hours worked. In each case, the hours worked is the difference between the "Out" time and the "In" time.

  morning hours = 12:15 -8:15 = 4:00

  afternoon hours = 17:30 -13:00 = 4:30

  total hours worked = morning hours + afternoon hours

  total hours worked = 4:00 +4:30 = 8:30

This notation tells you (hours):(minutes). You know that 30 minutes is 1/2 hour, so the total time worked is 8 1/2 hours.

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7 0
2 years ago
Anybody know the correct answer?
earnstyle [38]

Since \csc^2{x}=\frac{1}{\sin^2{x}} and \cot^2{x}=\frac{\cos^2{x}}{\sin^2{x}}, we can rewrite the right side of the equation as

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Using the identity \sin^2{x}+\cos^2{x}=1, we can subtract \cos^2{x} from either side to obtain the identity \sin^2{x}=1-\cos^2{x}

substituting that into our previous expression, the right side of our equation simply becomes

\frac{\sin^2{x}}{\sin^2{x}}=1

We can now write our whole equation as

3\tan^2{x}-2=1

Adding 2 to both sides:

3\tan^2{x}=3

dividing both sides by 3:

\tan^2{x}=1

\tan{x}=\pm1

When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4

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3 years ago
PLEASE HELP!! WILL GIVE BONUS POINTS!
Colt1911 [192]

6/5 is equal to 1.2, so that is a rational number.

√2 is equal to 1.570796326794 ... which is a irrational number.

so ur answer would be the top right answer choice.

hope i helped:)

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4 years ago
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